Bitsadze–Samarskii type problem for the integro-differential diffusion–wave equation on the Heisenberg group

Abstract

This paper deals with the fractional generalization of the integro-differential diffusion–wave equation for the Heisenberg sub-Laplacian, with homogeneous Bitsadze–Samarskii type time-nonlocal conditions. For the considered problem, we show the existence, uniqueness and the explicit representation formulae for the solution.